2005 AMC 8 Problem 6
Attempt Problem 6 of the 2005 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2005 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Suppose is a digit. For how many values of is
Answer: C
Small hint:
Compare the thousandths digit of with that of .
Big hint:
The digit must be at least .
Solution:
The numbers and first differ in the thousandths place: is compared with .
Thus exactly when . The possible digits are , for values.
Thus, C is the correct answer.
Problem 6 in other years
- 1985 AMC 8
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